If you are a fan of the graphic novel of hellsing (the manga) then I would definitely highly recommend this anime. As opposed to the original TV series of Hellsing, this one in particular follows the manga almost perfectly. All of the events and order of which they occur is the same as in the manga, instead of that 'Incognito' stuff.
What is more is that the animation is amazing, among the best. It is what one would expect from a full-length anime feature, although each Hellsing Ultimate episode does run for 50 minutes, roughly. This is definitely great to buy even if you have not seen the original series or read the manga, as it is something completely new.
Personally, being a fan of the manga, I would say that this is better than the TV series of Hellsing. The art is so dark and gothic, which is a perfect atmosphere for such a horror production. The music is also very vampiric too. There is some bloody violence, which is to be expected I suppose but it is a lot more violent to the prior series, which is good in a way as it is Hellsing....a full near perfect adation to Kohta Hirano's Hellsing manga too, that is.
I will most definitely be seeing this entire series to the finish!! An easy five-star production from me. Alexander Anderson was also amazing in this one, more demonic and crazier than he was before.